Max Sauerbrey

Preprints

P2) The incompressible Navier-Stokes-Fourier system with thermal noise (with Benjamin Gess and Zhengyan Wu), arXiv:2603.26307 (56 pages)
P1) A stochastic flow approach to De Giorgi-Nash-Moser estimates for SPDEs with smooth transport noise (with Antonio Agresti and Mark Veraar), arXiv:2511.12692 (34 pages)

Peer-reviewed Articles

5) Well-posedness of the stochastic thin-film equation with an interface potential (with Antonio Agresti), to appear in Commun. Math. Phys.; arXiv:2403.12652 (48 pages)
4) Solutions to the stochastic thin-film equation for the range of mobility exponents $n\in (2,3)$, Stoch. Partial Differ. Equ. Anal. Comput. (56 pages); arXiv:2310.02765 (42 pages)
3) Solutions to the stochastic thin-film equation for initial values with non-full support (with Konstantinos Dareiotis, Benjamin Gess and Manuel V. Gnann), Trans. Amer. Math. Soc. 379: 2343-2383, 2026 (41 pages); arxiv:2305.06017 (36 pages)
2) Martingale solutions to the stochastic thin-film equation in two dimensions, Ann. I. H. Poincaré B 60(1): 373-412, 2024 (40 pages); Published Version (PDF); arXiv:2108.05754 (43 pages)
1) Dirichlet form analysis of the Jacobi process (with Martin Grothaus), Stoch. Process. Appl. 157: 376-412, 2023 (36 pages); arXiv:2111.01693 (34 pages)

Extended Abstracts

A1) Well-posedness of the stochastic thin-film equation with an interface potential, in Oberwolfach Report: Recent Developments in SPDEs and BSDEs meet Harmonic and Functional Analysis, 2025

Theses

T1) Thin Films Under Thermal Noise, Dissertation (TU Delft), Delft University of Technology, 2024 (242 pages); Download available at the repository of the TU Delft

Recordings

R1) A recording of my PhD defense including a layman's talk of 10 minutes on my PhD research can be found here

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